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We show that any solution of the 4D Einstein equations of general relativity in vacuum with a cosmological constant may be embedded in a solution of the 5D Ricci-flat equations with an effective 4D cosmological "constant" that is a specific…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Bahram Mashhoon , Paul Wesson

The strong interplay between Bianchi--Kantowski--Sachs (BKS) spacetimes and Thurston geometries motivates the exploration of the role of topology in our understanding of gravity. As such, we study non-tilted BKS solutions of a theory of…

General Relativity and Quantum Cosmology · Physics 2026-04-08 Quentin Vigneron , Hamed Barzegar

The multidimensional gravity on the total space of principal bundle is considered. In this theory the gauge fields arise as nondiagonal components of multidimensional metric. The spherically symmetric and cosmology solutions for gravity on…

General Relativity and Quantum Cosmology · Physics 2015-06-25 V. D. Dzhunushaliev

Quasi-topological gravities (QTGs) are higher-curvature extensions of Einstein gravity in $D\geq 5$ spacetime dimensions. Throughout the years, different notions of QTGs constructed from analytic functions of polynomial curvature invariants…

General Relativity and Quantum Cosmology · Physics 2025-12-01 Pablo Bueno , Robie A. Hennigar , Ángel J. Murcia

We study gravitational theory in 1+2 spacetime dimensions which is determined by the Lagrangian constructed as a sum of the Einstein-Hilbert term plus the two (translational and rotational) gravitational Chern-Simons terms. When the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Yuri N. Obukhov

We demonstrate that generic two-dimensional Horndeski theories can arise from the reduction of pure gravities in $d \geq 4$ dimensions, and therefore generic onshell configurations for the two-dimensional metric and scalar field correspond…

High Energy Physics - Theory · Physics 2026-04-14 Johanna Borissova

It is believed that soon after the Planck time, Einstein's general relativity theory should be corrected to an effective quadratic theory. Numerical solutions for the anisotropic generalization of the Friedmann "flat" model $E^3$ for this…

General Relativity and Quantum Cosmology · Physics 2012-04-02 Daniel Müller , Juliano A. de Deus

Spherical gravitational wave is strictly forbidden in vacuum space in frame of general relativity by the Birkhoff theorem. We prove that spherical gravitational waves do exist in non-linear massive gravity, and find the exact solution.…

General Relativity and Quantum Cosmology · Physics 2022-01-05 Hongsheng Zhang , Yang Huang

We formulate a topological theory in six dimensions with gauge group SO(3,3) which reduces to gravity on a four dimensional defect if suitable boundary conditions are chosen. In such a framework we implement the reflection automorphism of…

High Energy Physics - Theory · Physics 2009-10-31 G. Bonelli , A. M. Boyarsky

We study spherically symmetric solutions in a four-parameter Einstein-Cartan-type class of theories. These theories include torsion, as well as the metric, as dynamical fields, and contain only two physical excitations (around flat…

General Relativity and Quantum Cosmology · Physics 2019-08-07 Thibault Damour , Vasilisa Nikiforova

In this paper, we obtain higher dimensional topological black hole solutions of Einstein-$\Lambda$ gravity in the presence of a class of nonlinear electrodynamics. First, we calculate the conserved and thermodynamic quantities of…

General Relativity and Quantum Cosmology · Physics 2015-07-13 S. H. Hendi , M. Momennia

We report on a new solution to the Einstein-Maxwell equations in 2+1 dimensions with a negative cosmological constant. The solution is static, rotationally symmetric and has a non-zero magnetic field. The solution can be interpreted as a…

High Energy Physics - Theory · Physics 2010-11-19 Eric W. Hirschmann , Dean L. Welch

We discuss the hypothesis of a fixed point for quantum gravity coupled to a scalar, in the limit where the scalar field goes to infinity, accompanied by a suitable scaling of the metric. We propose that no scalar potential is present for…

High Energy Physics - Theory · Physics 2010-05-25 C. Wetterich

We study the solutions of the semiclassical Einstein equation in flat cosmological spacetimes driven by a massive conformally coupled scalar field. In particular, we show that it is possible to give initial conditions at finite time to get…

Mathematical Physics · Physics 2015-03-10 Nicola Pinamonti , Daniel Siemssen

We study non-linear massive gravity in the spherically symmetric context. Our main motivation is to investigate the effect of helicity-0 mode which remains elusive after analysis of cosmological perturbation around an open…

High Energy Physics - Theory · Physics 2012-12-19 Chien-I Chiang , Keisuke Izumi , Pisin Chen

It is fair to say that our current mathematical understanding of the dynamics of gravitational collapse to a black hole is limited to the spherically symmetric situation and, in fact, even in this case much remains to be learned. The reason…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Piotr Bizoń , Bernd G. Schmidt

We study Kundt solutions of topologically massive gravity (TMG) and the new theory of massive gravity (NMG), proposed recently in arXiv:0901.1766. For topologically massive gravity, only the CSI Kundt solutions (i.e., solutions with…

High Energy Physics - Theory · Physics 2009-07-15 Mohamed Chakhad

It is well known that three-dimensional Einstein's gravity without matter is topological, i.e. it does not have local propagating degrees of freedom. The main result of this work is to show that dynamics in the gravitational sector can be…

General Relativity and Quantum Cosmology · Physics 2020-01-31 Giandomenico Palumbo

In this paper we present a class of higher derivative theories of gravity which admit Birkhoff's theorem. In particular, we explicitly show that in this class of theories, although generically the field equations are of fourth order, under…

General Relativity and Quantum Cosmology · Physics 2011-09-28 Julio Oliva , Sourya Ray

We obtain the static spherically symmetric solutions of a class of gravitational models whose additions to the General Relativity (GR) action forbid Ricci-flat, in particular, Schwarzschild geometries. These theories are selected to…

General Relativity and Quantum Cosmology · Physics 2008-11-07 S. Deser , O. Sarioglu , B. Tekin
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